More on (α,β)-Normal Operators in Hilbert Spaces

We study some properties of (α,β)-normal operators and we present various inequalities between the operator norm and the numerical radius of (α,β)-normal operators on Banach algebra ℬ(ℋ) of all bounded linear operators T:ℋ→ℋ, where ℋ is Hilbert space.

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Bibliographic Details
Published in:Abstract and applied analysis 2012, Vol.2012 (2012), p.1-11
Main Authors: Eskandari, Rasoul, Morassaei, Ali, Mirzapour, Farzollah
Format: Article
Language:English
Online Access:Get full text
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Summary:We study some properties of (α,β)-normal operators and we present various inequalities between the operator norm and the numerical radius of (α,β)-normal operators on Banach algebra ℬ(ℋ) of all bounded linear operators T:ℋ→ℋ, where ℋ is Hilbert space.
ISSN:1085-3375
1687-0409